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Cooperation, Conflict And Higher-Order Structures Of Social Networks

Author

Listed:
  • SLOBODAN MALETIĆ

    (Institute of Nuclear Sciences Vinča, University of Belgrade, P. O. Box 522, 11001 Belgrade, Serbia)

  • DANIJELA HORAK

    (Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, Leipzig D-04103, Germany)

  • MILAN RAJKOVIĆ

    (Institute of Nuclear Sciences Vinča, University of Belgrade, P. O. Box 522, 11001 Belgrade, Serbia)

Abstract

Simplicial complexes represent powerful models of complex networks and complex systems in general. We explore the properties of spectra of combinatorial Laplacian operator of simplicial complexes in the context of connectivity of cliques in the simplicial clique complex associated with social networks. The necessity of higher order spectral analysis is discussed and compared with results for ordinary graph spectra. Methods and results are applied using social network of the Zachary karate club and the network of characters from Victor Hugo's novel Les Miserables.

Suggested Citation

  • Slobodan Maletić & Danijela Horak & Milan Rajković, 2012. "Cooperation, Conflict And Higher-Order Structures Of Social Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(supp0), pages 1-29.
    • Handle: RePEc:wsi:acsxxx:v:15:y:2012:i:supp0:n:s0219525912500555
    DOI: 10.1142/S0219525912500555
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    References listed on IDEAS

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    1. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
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    Cited by:

    1. Andjelković, Miroslav & Tadić, Bosiljka & Maletić, Slobodan & Rajković, Milan, 2015. "Hierarchical sequencing of online social graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 582-595.
    2. Maletić, Slobodan & Rajković, Milan, 2014. "Consensus formation on a simplicial complex of opinions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 397(C), pages 111-120.
    3. Cao, Yong & Zhao, Youjie & Yue, Xiaoguang & Xiong, Fei & Sun, Yongke & He, Xin & Wang, Lichao, 2016. "Between disorder and order: A case study of power law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 244-255.

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